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[Merged by Bors] - feat(analysis/normed_space/lp_equiv): equivalences between lp
and pi_Lp
, bounded_continuous_function
#15872
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lp
and pi_Lp
lp
and pi_Lp
, bounded_continuous_function
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sgouezel
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sgouezel
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sgouezel
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Oct 11, 2022
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…pi_Lp`, `bounded_continuous_function` (#15872) This adds a new file for equivalences between various L^p spaces. We do this in a new file instead of `analysis/normed_space/lp_space` in order to minimize imports. We begin by establishing the equivalence between `lp` and `pi_Lp` when the index type is a fintype, and then proceed to recognize the equivalence between `lp` (for `p = ∞`) and `bounded_continuous_function` when the codomain has various algebraic structures. - [x] depends on: #15833 - [x] depends on: #15852
Pull request successfully merged into master. Build succeeded: |
lp
and pi_Lp
, bounded_continuous_function
lp
and pi_Lp
, bounded_continuous_function
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t-analysis
Analysis (normed *, calculus)
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This adds a new file for equivalences between various L^p spaces. We do this in a new file instead of
analysis/normed_space/lp_space
in order to minimize imports. We begin by establishing the equivalence betweenlp
andpi_Lp
when the index type is a fintype, and then proceed to recognize the equivalence betweenlp
(forp = ∞
) andbounded_continuous_function
when the codomain has various algebraic structures.equiv.supr_congr
andequiv.supr_comp
lemmas #15852